1990 Fiscal Year Final Research Report Summary
Development of Nonlinear Stochastic Finite Element Method
| Project/Area Number |
01460093
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| Research Category |
Grant-in-Aid for General Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
材料力学
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| Research Institution | University of Tokyo |
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Principal Investigator |
HISADA Toshiaki RCAST, Univ. of Tokyo, ASS. Prof., 先端科学技術研究センター・巨大システム分野, 助教授 (40126149)
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| Co-Investigator(Kenkyū-buntansha) |
NOGUCHI Hirohisa RCAST, Univ, of Tokyo, Res. Ass., 先端科学技術研究センター・巨大システム分野, 助手 (70218303)
SAKAI Shinsuke DPT, of Eng., Univ. of Tokyo, Ass. Prof., 工学部・機械工学科, 助教授 (80134469)
HIRATA Masaru RCAST, Univ. of Tokyo, Prof., 先端科学技術研究センター・巨大システム分野, 教授 (70010775)
NOGUCHI Hirohisa RCAST, Univ, of Tokyo, Res. Ass. (70218303)
NOGUCHI Hirohisa RCAST, Univ, of Tokyo, Res. Ass. (70218303)
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| Project Period (FY) |
1989 – 1990
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| Keywords | FEM / Stochastic FEM / Sensitivity Analysis / Nonlinear Analysis |
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| Research Abstract |
The purpose of this research is to establish the theory of nonlinear stochastic finite element method and to develop the practical SFEM computer program.
(1) By the new idea based on perturbation method and energy principle, the basis theory for Nonlinear SFEM was introduced. (2) The incremental nonlinear FEM was combined with the above theory. (3) The validity of the theory was investigated by the analyses of several nonlinear truss problems. (4) The prototype computer program for both geometrical nonlinear shell and 3D elasto-plastic solid analysis was developed. (5) The sensitivity analysis method for the elasto-plastic dynamic problem was formulated. (6) The dynamic sensitivity analysis program for the nonlinear truss and piping system was developed. The program was combined with the general purpose reliability analysis code CALREL and reliability index and probability of failure could be calculated. (7) Finally the practical sensitivity analysis for the seismic response of the piping system in the nuclear power plant was conducted.
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